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Finding the Fourth Proportional to 907.56, 1,252.02 and 638.40

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Solution

The fourth proportional to 907.56, 1,252.02 and 638.40 is: 880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,252.02 = 638.40 : x
  2. Step 2: Convert to fraction form
    907.56/1,252.02 = 638.40/x
  3. Step 3: Cross multiply
    907.56x = 1,252.02 × 638.40
  4. Step 4: Simplify right side
    907.56x = 799,289.57
  5. Step 5: Solve for x
    x = 799,289.57/907.56
  6. Step 6: Final answer
    x = 880.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.